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41.
The value of $square root of negative square root of 3 space plus space square root of 3 space plus space 8 square root of 7 space plus space 4 square root of 3 end root end root end root$ is

3

4

1

2

$square root of negative square root of 3 space plus space square root of 3 plus space 8 space square root of 7 space plus space 4 square root of 3 end root end root end root$
$equals space square root of negative square root of 3 space plus space square root of 3 space plus space 8 left parenthesis 2 space plus space square root of 3 right parenthesis end root end root equals space square root of negative square root of 3 space plus space 4 space plus space square root of 3 end root equals space square root of 4 space equals space 2$
$open curly brackets because space space space square root of 7 space plus space 4 square root of 3 end root space equals space fraction numerator square root of 6 space end root space over denominator square root of 2 end fraction plus space fraction numerator square root of 8 over denominator square root of 2 end fraction space equals space left parenthesis space 2 space plus space square root of 3 right parenthesis close curly brackets$

65 Views

42.

If $square root of 4 straight x minus 9 end root space plus space square root of 4 straight x plus 9 end root space equals space 5 space plus space square root of 7 comma$ then the value of x is

34 Views

43.

The least positive integer which is a perfect square and also divisible by each 21, 36 and 66 is

213444
254016
156816
186624

25 Views

44.

Find the simplest value of $2 square root of 50 space plus space square root of 18 space minus space square root of 72$ (given $square root of 2 equals space space 1.4141$ ).

9.898
10.312
8.484
4.242

25 Views

45.

The square root of $33 minus 4 square root of 35$ is

$left parenthesis square root of 7 space minus space 2 square root of 5 right parenthesis$
$plus-or-minus left parenthesis 2 square root of 7 space minus space square root of 5 right parenthesis$
$plus-or-minus left parenthesis 2 square root of 7 space plus space square root of 5 right parenthesis$
$plus-or-minus left parenthesis square root of 7 space plus space 2 square root of 5 right parenthesis$